Measures on the product of compact spaces

被引：0

作者：

Villanueva, I ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat, E-28040 Madrid, Spain

来源：

MONATSHEFTE FUR MATHEMATIK | 2002年 / 137卷 / 02期

关键词：

uncountable metrizable compact space; vector valued measures;

D O I：

10.1007/s00605-002-0500-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If K is an uncountable metrizable compact space, we prove a "factorization" result for a wide variety of vector valued Borel measures mu defined on K-n. This result essentially says that for every such measure p there exists a measure tt' defined on K such that the measure mu of a product A(1) x ... x A(n) of Borel sets of K equals the measure mu' of the intersection A(1)'boolean AND ... boolean ANDA(n)', where the A(i)"s are certain transforms of the A(i)'s.

引用

页码：167 / 172

页数：6